What is the Greatest Common Factor of 30522 and 30537?
Greatest common factor (GCF) of 30522 and 30537 is 3.
GCF(30522,30537) = 3
We will now calculate the prime factors of 30522 and 30537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30522 and 30537.
How to find the GCF of 30522 and 30537?
We will first find the prime factorization of 30522 and 30537. After we will calculate the factors of 30522 and 30537 and find the biggest common factor number .
Step-1: Prime Factorization of 30522
Prime factors of 30522 are 2, 3, 5087. Prime factorization of 30522 in exponential form is:
30522 = 21 × 31 × 50871
Step-2: Prime Factorization of 30537
Prime factors of 30537 are 3, 13, 29. Prime factorization of 30537 in exponential form is:
30537 = 34 × 131 × 291
Step-3: Factors of 30522
List of positive integer factors of 30522 that divides 30522 without a remainder.
1, 2, 3, 6, 5087, 10174, 15261
Step-4: Factors of 30537
List of positive integer factors of 30537 that divides 30522 without a remainder.
1, 3, 9, 13, 27, 29, 39, 81, 87, 117, 261, 351, 377, 783, 1053, 1131, 2349, 3393, 10179
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 30522 and 30537. The biggest common factor number is the GCF number.
So the greatest common factor 30522 and 30537 is 3.
Also check out the Least Common Multiple of 30522 and 30537
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Related Greatest Common Factors of 30537
- GCF of 30537 and 30541
- GCF of 30537 and 30542
- GCF of 30537 and 30543
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- GCF of 30537 and 30546
- GCF of 30537 and 30547
- GCF of 30537 and 30548
- GCF of 30537 and 30549
- GCF of 30537 and 30550
- GCF of 30537 and 30551
- GCF of 30537 and 30552
- GCF of 30537 and 30553
- GCF of 30537 and 30554
- GCF of 30537 and 30555
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