What is the Greatest Common Factor of 37054 and 37064?

Greatest common factor (GCF) of 37054 and 37064 is 2.

GCF(37054,37064) = 2

We will now calculate the prime factors of 37054 and 37064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37054 and 37064.

How to find the GCF of 37054 and 37064?

We will first find the prime factorization of 37054 and 37064. After we will calculate the factors of 37054 and 37064 and find the biggest common factor number .

Step-1: Prime Factorization of 37054

Prime factors of 37054 are 2, 97, 191. Prime factorization of 37054 in exponential form is:

37054 = 2¹ × 97¹ × 191¹

Step-2: 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-3: Factors of 37054

List of positive integer factors of 37054 that divides 37054 without a remainder.

1, 2, 97, 191, 194, 382, 18527

Step-4: Factors of 37064

List of positive integer factors of 37064 that divides 37054 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37054 and 37064. The biggest common factor number is the GCF number.
So the greatest common factor 37054 and 37064 is 2.

Also check out the Least Common Multiple of 37054 and 37064