What is the Greatest Common Factor of 37660 and 37676?

Greatest common factor (GCF) of 37660 and 37676 is 4.

GCF(37660,37676) = 4

We will now calculate the prime factors of 37660 and 37676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37660 and 37676.

How to find the GCF of 37660 and 37676?

We will first find the prime factorization of 37660 and 37676. After we will calculate the factors of 37660 and 37676 and find the biggest common factor number .

Step-1: Prime Factorization of 37660

Prime factors of 37660 are 2, 5, 7, 269. Prime factorization of 37660 in exponential form is:

37660 = 2² × 5¹ × 7¹ × 269¹

Step-2: Prime Factorization of 37676

Prime factors of 37676 are 2, 9419. Prime factorization of 37676 in exponential form is:

37676 = 2² × 9419¹

Step-3: Factors of 37660

List of positive integer factors of 37660 that divides 37660 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 269, 538, 1076, 1345, 1883, 2690, 3766, 5380, 7532, 9415, 18830

Step-4: Factors of 37676

List of positive integer factors of 37676 that divides 37660 without a remainder.

1, 2, 4, 9419, 18838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37660 and 37676. The biggest common factor number is the GCF number.
So the greatest common factor 37660 and 37676 is 4.

Also check out the Least Common Multiple of 37660 and 37676