What is the Greatest Common Factor of 62488 and 62492?

Greatest common factor (GCF) of 62488 and 62492 is 4.

GCF(62488,62492) = 4

We will now calculate the prime factors of 62488 and 62492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62488 and 62492.

How to find the GCF of 62488 and 62492?

We will first find the prime factorization of 62488 and 62492. After we will calculate the factors of 62488 and 62492 and find the biggest common factor number .

Step-1: Prime Factorization of 62488

Prime factors of 62488 are 2, 73, 107. Prime factorization of 62488 in exponential form is:

62488 = 2³ × 73¹ × 107¹

Step-2: Prime Factorization of 62492

Prime factors of 62492 are 2, 17, 919. Prime factorization of 62492 in exponential form is:

62492 = 2² × 17¹ × 919¹

Step-3: Factors of 62488

List of positive integer factors of 62488 that divides 62488 without a remainder.

1, 2, 4, 8, 73, 107, 146, 214, 292, 428, 584, 856, 7811, 15622, 31244

Step-4: Factors of 62492

List of positive integer factors of 62492 that divides 62488 without a remainder.

1, 2, 4, 17, 34, 68, 919, 1838, 3676, 15623, 31246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62488 and 62492. The biggest common factor number is the GCF number.
So the greatest common factor 62488 and 62492 is 4.

Also check out the Least Common Multiple of 62488 and 62492