What is the Greatest Common Factor of 72268 and 72274?

Greatest common factor (GCF) of 72268 and 72274 is 2.

GCF(72268,72274) = 2

We will now calculate the prime factors of 72268 and 72274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72268 and 72274.

How to find the GCF of 72268 and 72274?

We will first find the prime factorization of 72268 and 72274. After we will calculate the factors of 72268 and 72274 and find the biggest common factor number .

Step-1: Prime Factorization of 72268

Prime factors of 72268 are 2, 7, 29, 89. Prime factorization of 72268 in exponential form is:

72268 = 2² × 7¹ × 29¹ × 89¹

Step-2: Prime Factorization of 72274

Prime factors of 72274 are 2, 36137. Prime factorization of 72274 in exponential form is:

72274 = 2¹ × 36137¹

Step-3: Factors of 72268

List of positive integer factors of 72268 that divides 72268 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 89, 116, 178, 203, 356, 406, 623, 812, 1246, 2492, 2581, 5162, 10324, 18067, 36134

Step-4: Factors of 72274

List of positive integer factors of 72274 that divides 72268 without a remainder.

1, 2, 36137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72268 and 72274. The biggest common factor number is the GCF number.
So the greatest common factor 72268 and 72274 is 2.

Also check out the Least Common Multiple of 72268 and 72274