What is the Greatest Common Factor of 45492 and 45502?

Greatest common factor (GCF) of 45492 and 45502 is 2.

GCF(45492,45502) = 2

We will now calculate the prime factors of 45492 and 45502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45492 and 45502.

How to find the GCF of 45492 and 45502?

We will first find the prime factorization of 45492 and 45502. After we will calculate the factors of 45492 and 45502 and find the biggest common factor number .

Step-1: Prime Factorization of 45492

Prime factors of 45492 are 2, 3, 17, 223. Prime factorization of 45492 in exponential form is:

45492 = 2² × 3¹ × 17¹ × 223¹

Step-2: Prime Factorization of 45502

Prime factors of 45502 are 2, 22751. Prime factorization of 45502 in exponential form is:

45502 = 2¹ × 22751¹

Step-3: Factors of 45492

List of positive integer factors of 45492 that divides 45492 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 223, 446, 669, 892, 1338, 2676, 3791, 7582, 11373, 15164, 22746

Step-4: Factors of 45502

List of positive integer factors of 45502 that divides 45492 without a remainder.

1, 2, 22751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45492 and 45502. The biggest common factor number is the GCF number.
So the greatest common factor 45492 and 45502 is 2.

Also check out the Least Common Multiple of 45492 and 45502