What is the Greatest Common Factor of 37604 and 37618?

Greatest common factor (GCF) of 37604 and 37618 is 14.

GCF(37604,37618) = 14

We will now calculate the prime factors of 37604 and 37618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37604 and 37618.

How to find the GCF of 37604 and 37618?

We will first find the prime factorization of 37604 and 37618. After we will calculate the factors of 37604 and 37618 and find the biggest common factor number .

Step-1: Prime Factorization of 37604

Prime factors of 37604 are 2, 7, 17, 79. Prime factorization of 37604 in exponential form is:

37604 = 2² × 7¹ × 17¹ × 79¹

Step-2: Prime Factorization of 37618

Prime factors of 37618 are 2, 7, 2687. Prime factorization of 37618 in exponential form is:

37618 = 2¹ × 7¹ × 2687¹

Step-3: Factors of 37604

List of positive integer factors of 37604 that divides 37604 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 79, 119, 158, 238, 316, 476, 553, 1106, 1343, 2212, 2686, 5372, 9401, 18802

Step-4: Factors of 37618

List of positive integer factors of 37618 that divides 37604 without a remainder.

1, 2, 7, 14, 2687, 5374, 18809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37604 and 37618. The biggest common factor number is the GCF number.
So the greatest common factor 37604 and 37618 is 14.

Also check out the Least Common Multiple of 37604 and 37618