What is the Greatest Common Factor of 8561 and 8580?
Greatest common factor (GCF) of 8561 and 8580 is 1.
GCF(8561,8580) = 1
We will now calculate the prime factors of 8561 and 8580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8561 and 8580.
How to find the GCF of 8561 and 8580?
We will first find the prime factorization of 8561 and 8580. After we will calculate the factors of 8561 and 8580 and find the biggest common factor number .
Step-1: Prime Factorization of 8561
Prime factors of 8561 are 7, 1223. Prime factorization of 8561 in exponential form is:
8561 = 71 × 12231
Step-2: Prime Factorization of 8580
Prime factors of 8580 are 2, 3, 5, 11, 13. Prime factorization of 8580 in exponential form is:
8580 = 22 × 31 × 51 × 111 × 131
Step-3: Factors of 8561
List of positive integer factors of 8561 that divides 8561 without a remainder.
1, 7, 1223
Step-4: Factors of 8580
List of positive integer factors of 8580 that divides 8561 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8561 and 8580. The biggest common factor number is the GCF number.
So the greatest common factor 8561 and 8580 is 1.
Also check out the Least Common Multiple of 8561 and 8580
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Related Greatest Common Factors of 8580
- GCF of 8580 and 8584
- GCF of 8580 and 8585
- GCF of 8580 and 8586
- GCF of 8580 and 8587
- GCF of 8580 and 8588
- GCF of 8580 and 8589
- GCF of 8580 and 8590
- GCF of 8580 and 8591
- GCF of 8580 and 8592
- GCF of 8580 and 8593
- GCF of 8580 and 8594
- GCF of 8580 and 8595
- GCF of 8580 and 8596
- GCF of 8580 and 8597
- GCF of 8580 and 8598
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