What is the Greatest Common Factor of 87268 and 87276?

Greatest common factor (GCF) of 87268 and 87276 is 4.

GCF(87268,87276) = 4

We will now calculate the prime factors of 87268 and 87276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87268 and 87276.

How to find the GCF of 87268 and 87276?

We will first find the prime factorization of 87268 and 87276. After we will calculate the factors of 87268 and 87276 and find the biggest common factor number .

Step-1: Prime Factorization of 87268

Prime factors of 87268 are 2, 21817. Prime factorization of 87268 in exponential form is:

87268 = 2² × 21817¹

Step-2: Prime Factorization of 87276

Prime factors of 87276 are 2, 3, 7, 1039. Prime factorization of 87276 in exponential form is:

87276 = 2² × 3¹ × 7¹ × 1039¹

Step-3: Factors of 87268

List of positive integer factors of 87268 that divides 87268 without a remainder.

1, 2, 4, 21817, 43634

Step-4: Factors of 87276

List of positive integer factors of 87276 that divides 87268 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1039, 2078, 3117, 4156, 6234, 7273, 12468, 14546, 21819, 29092, 43638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87268 and 87276. The biggest common factor number is the GCF number.
So the greatest common factor 87268 and 87276 is 4.

Also check out the Least Common Multiple of 87268 and 87276