What is the Greatest Common Factor of 37024 and 37034?

Greatest common factor (GCF) of 37024 and 37034 is 2.

GCF(37024,37034) = 2

We will now calculate the prime factors of 37024 and 37034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37024 and 37034.

How to find the GCF of 37024 and 37034?

We will first find the prime factorization of 37024 and 37034. After we will calculate the factors of 37024 and 37034 and find the biggest common factor number .

Step-1: Prime Factorization of 37024

Prime factors of 37024 are 2, 13, 89. Prime factorization of 37024 in exponential form is:

37024 = 2⁵ × 13¹ × 89¹

Step-2: Prime Factorization of 37034

Prime factors of 37034 are 2, 18517. Prime factorization of 37034 in exponential form is:

37034 = 2¹ × 18517¹

Step-3: Factors of 37024

List of positive integer factors of 37024 that divides 37024 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 89, 104, 178, 208, 356, 416, 712, 1157, 1424, 2314, 2848, 4628, 9256, 18512

Step-4: Factors of 37034

List of positive integer factors of 37034 that divides 37024 without a remainder.

1, 2, 18517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37024 and 37034. The biggest common factor number is the GCF number.
So the greatest common factor 37024 and 37034 is 2.

Also check out the Least Common Multiple of 37024 and 37034