What is the Greatest Common Factor of 1472 and 1492?

Greatest common factor (GCF) of 1472 and 1492 is 4.

GCF(1472,1492) = 4

We will now calculate the prime factors of 1472 and 1492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1472 and 1492.

How to find the GCF of 1472 and 1492?

We will first find the prime factorization of 1472 and 1492. After we will calculate the factors of 1472 and 1492 and find the biggest common factor number .

Step-1: Prime Factorization of 1472

Prime factors of 1472 are 2, 23. Prime factorization of 1472 in exponential form is:

1472 = 2⁶ × 23¹

Step-2: Prime Factorization of 1492

Prime factors of 1492 are 2, 373. Prime factorization of 1492 in exponential form is:

1492 = 2² × 373¹

Step-3: Factors of 1472

List of positive integer factors of 1472 that divides 1472 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736

Step-4: Factors of 1492

List of positive integer factors of 1492 that divides 1472 without a remainder.

1, 2, 4, 373, 746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1472 and 1492. The biggest common factor number is the GCF number.
So the greatest common factor 1472 and 1492 is 4.

Also check out the Least Common Multiple of 1472 and 1492