What is the Greatest Common Factor of 37064 and 37078?

Greatest common factor (GCF) of 37064 and 37078 is 2.

GCF(37064,37078) = 2

We will now calculate the prime factors of 37064 and 37078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37064 and 37078.

How to find the GCF of 37064 and 37078?

We will first find the prime factorization of 37064 and 37078. After we will calculate the factors of 37064 and 37078 and find the biggest common factor number .

Step-1: Prime Factorization of 37064

Prime factors of 37064 are 2, 41, 113. Prime factorization of 37064 in exponential form is:

37064 = 2³ × 41¹ × 113¹

Step-2: Prime Factorization of 37078

Prime factors of 37078 are 2, 18539. Prime factorization of 37078 in exponential form is:

37078 = 2¹ × 18539¹

Step-3: Factors of 37064

List of positive integer factors of 37064 that divides 37064 without a remainder.

1, 2, 4, 8, 41, 82, 113, 164, 226, 328, 452, 904, 4633, 9266, 18532

Step-4: Factors of 37078

List of positive integer factors of 37078 that divides 37064 without a remainder.

1, 2, 18539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37064 and 37078. The biggest common factor number is the GCF number.
So the greatest common factor 37064 and 37078 is 2.

Also check out the Least Common Multiple of 37064 and 37078