What is the Greatest Common Factor of 712 and 732?

Greatest common factor (GCF) of 712 and 732 is 4.

GCF(712,732) = 4

We will now calculate the prime factors of 712 and 732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 712 and 732.

How to find the GCF of 712 and 732?

We will first find the prime factorization of 712 and 732. After we will calculate the factors of 712 and 732 and find the biggest common factor number .

Step-1: Prime Factorization of 712

Prime factors of 712 are 2, 89. Prime factorization of 712 in exponential form is:

712 = 2³ × 89¹

Step-2: Prime Factorization of 732

Prime factors of 732 are 2, 3, 61. Prime factorization of 732 in exponential form is:

732 = 2² × 3¹ × 61¹

Step-3: Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356

Step-4: Factors of 732

List of positive integer factors of 732 that divides 712 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 712 and 732. The biggest common factor number is the GCF number.
So the greatest common factor 712 and 732 is 4.

Also check out the Least Common Multiple of 712 and 732