What is the Greatest Common Factor of 62454 and 62458?

Greatest common factor (GCF) of 62454 and 62458 is 2.

GCF(62454,62458) = 2

We will now calculate the prime factors of 62454 and 62458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62454 and 62458.

How to find the GCF of 62454 and 62458?

We will first find the prime factorization of 62454 and 62458. After we will calculate the factors of 62454 and 62458 and find the biggest common factor number .

Step-1: Prime Factorization of 62454

Prime factors of 62454 are 2, 3, 7, 1487. Prime factorization of 62454 in exponential form is:

62454 = 2¹ × 3¹ × 7¹ × 1487¹

Step-2: Prime Factorization of 62458

Prime factors of 62458 are 2, 11, 17, 167. Prime factorization of 62458 in exponential form is:

62458 = 2¹ × 11¹ × 17¹ × 167¹

Step-3: Factors of 62454

List of positive integer factors of 62454 that divides 62454 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1487, 2974, 4461, 8922, 10409, 20818, 31227

Step-4: Factors of 62458

List of positive integer factors of 62458 that divides 62454 without a remainder.

1, 2, 11, 17, 22, 34, 167, 187, 334, 374, 1837, 2839, 3674, 5678, 31229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62454 and 62458. The biggest common factor number is the GCF number.
So the greatest common factor 62454 and 62458 is 2.

Also check out the Least Common Multiple of 62454 and 62458