What is the Greatest Common Factor of 8470 and 8480?
Greatest common factor (GCF) of 8470 and 8480 is 10.
GCF(8470,8480) = 10
We will now calculate the prime factors of 8470 and 8480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8470 and 8480.
How to find the GCF of 8470 and 8480?
We will first find the prime factorization of 8470 and 8480. After we will calculate the factors of 8470 and 8480 and find the biggest common factor number .
Step-1: Prime Factorization of 8470
Prime factors of 8470 are 2, 5, 7, 11. Prime factorization of 8470 in exponential form is:
8470 = 21 × 51 × 71 × 112
Step-2: Prime Factorization of 8480
Prime factors of 8480 are 2, 5, 53. Prime factorization of 8480 in exponential form is:
8480 = 25 × 51 × 531
Step-3: Factors of 8470
List of positive integer factors of 8470 that divides 8470 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235
Step-4: Factors of 8480
List of positive integer factors of 8480 that divides 8470 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8470 and 8480. The biggest common factor number is the GCF number.
So the greatest common factor 8470 and 8480 is 10.
Also check out the Least Common Multiple of 8470 and 8480
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Related Greatest Common Factors of 8480
- GCF of 8480 and 8484
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- GCF of 8480 and 8491
- GCF of 8480 and 8492
- GCF of 8480 and 8493
- GCF of 8480 and 8494
- GCF of 8480 and 8495
- GCF of 8480 and 8496
- GCF of 8480 and 8497
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