What is the Greatest Common Factor of 87920 and 87938?

Greatest common factor (GCF) of 87920 and 87938 is 2.

GCF(87920,87938) = 2

We will now calculate the prime factors of 87920 and 87938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87920 and 87938.

How to find the GCF of 87920 and 87938?

We will first find the prime factorization of 87920 and 87938. After we will calculate the factors of 87920 and 87938 and find the biggest common factor number .

Step-1: Prime Factorization of 87920

Prime factors of 87920 are 2, 5, 7, 157. Prime factorization of 87920 in exponential form is:

87920 = 2⁴ × 5¹ × 7¹ × 157¹

Step-2: Prime Factorization of 87938

Prime factors of 87938 are 2, 43969. Prime factorization of 87938 in exponential form is:

87938 = 2¹ × 43969¹

Step-3: Factors of 87920

List of positive integer factors of 87920 that divides 87920 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 157, 280, 314, 560, 628, 785, 1099, 1256, 1570, 2198, 2512, 3140, 4396, 5495, 6280, 8792, 10990, 12560, 17584, 21980, 43960

Step-4: Factors of 87938

List of positive integer factors of 87938 that divides 87920 without a remainder.

1, 2, 43969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87920 and 87938. The biggest common factor number is the GCF number.
So the greatest common factor 87920 and 87938 is 2.

Also check out the Least Common Multiple of 87920 and 87938