What is the Greatest Common Factor of 38715 and 38724?

Greatest common factor (GCF) of 38715 and 38724 is 3.

GCF(38715,38724) = 3

We will now calculate the prime factors of 38715 and 38724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38715 and 38724.

How to find the GCF of 38715 and 38724?

We will first find the prime factorization of 38715 and 38724. After we will calculate the factors of 38715 and 38724 and find the biggest common factor number .

Step-1: Prime Factorization of 38715

Prime factors of 38715 are 3, 5, 29, 89. Prime factorization of 38715 in exponential form is:

38715 = 3¹ × 5¹ × 29¹ × 89¹

Step-2: Prime Factorization of 38724

Prime factors of 38724 are 2, 3, 7, 461. Prime factorization of 38724 in exponential form is:

38724 = 2² × 3¹ × 7¹ × 461¹

Step-3: Factors of 38715

List of positive integer factors of 38715 that divides 38715 without a remainder.

1, 3, 5, 15, 29, 87, 89, 145, 267, 435, 445, 1335, 2581, 7743, 12905

Step-4: Factors of 38724

List of positive integer factors of 38724 that divides 38715 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 461, 922, 1383, 1844, 2766, 3227, 5532, 6454, 9681, 12908, 19362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38715 and 38724. The biggest common factor number is the GCF number.
So the greatest common factor 38715 and 38724 is 3.

Also check out the Least Common Multiple of 38715 and 38724