What is the Greatest Common Factor of 72626 and 72632?

Greatest common factor (GCF) of 72626 and 72632 is 2.

GCF(72626,72632) = 2

We will now calculate the prime factors of 72626 and 72632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72626 and 72632.

How to find the GCF of 72626 and 72632?

We will first find the prime factorization of 72626 and 72632. After we will calculate the factors of 72626 and 72632 and find the biggest common factor number .

Step-1: Prime Factorization of 72626

Prime factors of 72626 are 2, 36313. Prime factorization of 72626 in exponential form is:

72626 = 2¹ × 36313¹

Step-2: Prime Factorization of 72632

Prime factors of 72632 are 2, 7, 1297. Prime factorization of 72632 in exponential form is:

72632 = 2³ × 7¹ × 1297¹

Step-3: Factors of 72626

List of positive integer factors of 72626 that divides 72626 without a remainder.

1, 2, 36313

Step-4: Factors of 72632

List of positive integer factors of 72632 that divides 72626 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1297, 2594, 5188, 9079, 10376, 18158, 36316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72626 and 72632. The biggest common factor number is the GCF number.
So the greatest common factor 72626 and 72632 is 2.

Also check out the Least Common Multiple of 72626 and 72632