What is the Greatest Common Factor of 72748 and 72762?

Greatest common factor (GCF) of 72748 and 72762 is 2.

GCF(72748,72762) = 2

We will now calculate the prime factors of 72748 and 72762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72748 and 72762.

How to find the GCF of 72748 and 72762?

We will first find the prime factorization of 72748 and 72762. After we will calculate the factors of 72748 and 72762 and find the biggest common factor number .

Step-1: Prime Factorization of 72748

Prime factors of 72748 are 2, 13, 1399. Prime factorization of 72748 in exponential form is:

72748 = 2² × 13¹ × 1399¹

Step-2: Prime Factorization of 72762

Prime factors of 72762 are 2, 3, 67, 181. Prime factorization of 72762 in exponential form is:

72762 = 2¹ × 3¹ × 67¹ × 181¹

Step-3: Factors of 72748

List of positive integer factors of 72748 that divides 72748 without a remainder.

1, 2, 4, 13, 26, 52, 1399, 2798, 5596, 18187, 36374

Step-4: Factors of 72762

List of positive integer factors of 72762 that divides 72748 without a remainder.

1, 2, 3, 6, 67, 134, 181, 201, 362, 402, 543, 1086, 12127, 24254, 36381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72748 and 72762. The biggest common factor number is the GCF number.
So the greatest common factor 72748 and 72762 is 2.

Also check out the Least Common Multiple of 72748 and 72762