What is the Greatest Common Factor of 15620 and 15631?
Greatest common factor (GCF) of 15620 and 15631 is 11.
GCF(15620,15631) = 11
We will now calculate the prime factors of 15620 and 15631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15620 and 15631.
How to find the GCF of 15620 and 15631?
We will first find the prime factorization of 15620 and 15631. After we will calculate the factors of 15620 and 15631 and find the biggest common factor number .
Step-1: Prime Factorization of 15620
Prime factors of 15620 are 2, 5, 11, 71. Prime factorization of 15620 in exponential form is:
15620 = 22 × 51 × 111 × 711
Step-2: Prime Factorization of 15631
Prime factors of 15631 are 7, 11, 29. Prime factorization of 15631 in exponential form is:
15631 = 72 × 111 × 291
Step-3: Factors of 15620
List of positive integer factors of 15620 that divides 15620 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 71, 110, 142, 220, 284, 355, 710, 781, 1420, 1562, 3124, 3905, 7810
Step-4: Factors of 15631
List of positive integer factors of 15631 that divides 15620 without a remainder.
1, 7, 11, 29, 49, 77, 203, 319, 539, 1421, 2233
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15620 and 15631. The biggest common factor number is the GCF number.
So the greatest common factor 15620 and 15631 is 11.
Also check out the Least Common Multiple of 15620 and 15631
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