What is the Greatest Common Factor of 76216 and 76236?

Greatest common factor (GCF) of 76216 and 76236 is 4.

GCF(76216,76236) = 4

We will now calculate the prime factors of 76216 and 76236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76216 and 76236.

How to find the GCF of 76216 and 76236?

We will first find the prime factorization of 76216 and 76236. After we will calculate the factors of 76216 and 76236 and find the biggest common factor number .

Step-1: Prime Factorization of 76216

Prime factors of 76216 are 2, 7, 1361. Prime factorization of 76216 in exponential form is:

76216 = 2³ × 7¹ × 1361¹

Step-2: Prime Factorization of 76236

Prime factors of 76236 are 2, 3, 6353. Prime factorization of 76236 in exponential form is:

76236 = 2² × 3¹ × 6353¹

Step-3: Factors of 76216

List of positive integer factors of 76216 that divides 76216 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1361, 2722, 5444, 9527, 10888, 19054, 38108

Step-4: Factors of 76236

List of positive integer factors of 76236 that divides 76216 without a remainder.

1, 2, 3, 4, 6, 12, 6353, 12706, 19059, 25412, 38118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76216 and 76236. The biggest common factor number is the GCF number.
So the greatest common factor 76216 and 76236 is 4.

Also check out the Least Common Multiple of 76216 and 76236