What is the Greatest Common Factor of 37102 and 37107?

Greatest common factor (GCF) of 37102 and 37107 is 1.

GCF(37102,37107) = 1

We will now calculate the prime factors of 37102 and 37107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37102 and 37107.

How to find the GCF of 37102 and 37107?

We will first find the prime factorization of 37102 and 37107. After we will calculate the factors of 37102 and 37107 and find the biggest common factor number .

Step-1: Prime Factorization of 37102

Prime factors of 37102 are 2, 13, 1427. Prime factorization of 37102 in exponential form is:

37102 = 2¹ × 13¹ × 1427¹

Step-2: Prime Factorization of 37107

Prime factors of 37107 are 3, 7, 19, 31. Prime factorization of 37107 in exponential form is:

37107 = 3² × 7¹ × 19¹ × 31¹

Step-3: Factors of 37102

List of positive integer factors of 37102 that divides 37102 without a remainder.

1, 2, 13, 26, 1427, 2854, 18551

Step-4: Factors of 37107

List of positive integer factors of 37107 that divides 37102 without a remainder.

1, 3, 7, 9, 19, 21, 31, 57, 63, 93, 133, 171, 217, 279, 399, 589, 651, 1197, 1767, 1953, 4123, 5301, 12369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37102 and 37107. The biggest common factor number is the GCF number.
So the greatest common factor 37102 and 37107 is 1.

Also check out the Least Common Multiple of 37102 and 37107