What is the Greatest Common Factor of 1496 and 1501?

Greatest common factor (GCF) of 1496 and 1501 is 1.

GCF(1496,1501) = 1

We will now calculate the prime factors of 1496 and 1501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1496 and 1501.

How to find the GCF of 1496 and 1501?

We will first find the prime factorization of 1496 and 1501. After we will calculate the factors of 1496 and 1501 and find the biggest common factor number .

Step-1: Prime Factorization of 1496

Prime factors of 1496 are 2, 11, 17. Prime factorization of 1496 in exponential form is:

1496 = 2³ × 11¹ × 17¹

Step-2: Prime Factorization of 1501

Prime factors of 1501 are 19, 79. Prime factorization of 1501 in exponential form is:

1501 = 19¹ × 79¹

Step-3: Factors of 1496

List of positive integer factors of 1496 that divides 1496 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748

Step-4: Factors of 1501

List of positive integer factors of 1501 that divides 1496 without a remainder.

1, 19, 79

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1496 and 1501. The biggest common factor number is the GCF number.
So the greatest common factor 1496 and 1501 is 1.

Also check out the Least Common Multiple of 1496 and 1501