What is the Greatest Common Factor of 72624 and 72633?

Greatest common factor (GCF) of 72624 and 72633 is 3.

GCF(72624,72633) = 3

We will now calculate the prime factors of 72624 and 72633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72624 and 72633.

How to find the GCF of 72624 and 72633?

We will first find the prime factorization of 72624 and 72633. After we will calculate the factors of 72624 and 72633 and find the biggest common factor number .

Step-1: Prime Factorization of 72624

Prime factors of 72624 are 2, 3, 17, 89. Prime factorization of 72624 in exponential form is:

72624 = 2⁴ × 3¹ × 17¹ × 89¹

Step-2: Prime Factorization of 72633

Prime factors of 72633 are 3, 11, 31, 71. Prime factorization of 72633 in exponential form is:

72633 = 3¹ × 11¹ × 31¹ × 71¹

Step-3: Factors of 72624

List of positive integer factors of 72624 that divides 72624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 89, 102, 136, 178, 204, 267, 272, 356, 408, 534, 712, 816, 1068, 1424, 1513, 2136, 3026, 4272, 4539, 6052, 9078, 12104, 18156, 24208, 36312

Step-4: Factors of 72633

List of positive integer factors of 72633 that divides 72624 without a remainder.

1, 3, 11, 31, 33, 71, 93, 213, 341, 781, 1023, 2201, 2343, 6603, 24211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72624 and 72633. The biggest common factor number is the GCF number.
So the greatest common factor 72624 and 72633 is 3.

Also check out the Least Common Multiple of 72624 and 72633