What is the Greatest Common Factor of 62538 and 62546?

Greatest common factor (GCF) of 62538 and 62546 is 2.

GCF(62538,62546) = 2

We will now calculate the prime factors of 62538 and 62546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62538 and 62546.

How to find the GCF of 62538 and 62546?

We will first find the prime factorization of 62538 and 62546. After we will calculate the factors of 62538 and 62546 and find the biggest common factor number .

Step-1: Prime Factorization of 62538

Prime factors of 62538 are 2, 3, 7, 1489. Prime factorization of 62538 in exponential form is:

62538 = 2¹ × 3¹ × 7¹ × 1489¹

Step-2: Prime Factorization of 62546

Prime factors of 62546 are 2, 11, 2843. Prime factorization of 62546 in exponential form is:

62546 = 2¹ × 11¹ × 2843¹

Step-3: Factors of 62538

List of positive integer factors of 62538 that divides 62538 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1489, 2978, 4467, 8934, 10423, 20846, 31269

Step-4: Factors of 62546

List of positive integer factors of 62546 that divides 62538 without a remainder.

1, 2, 11, 22, 2843, 5686, 31273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62538 and 62546. The biggest common factor number is the GCF number.
So the greatest common factor 62538 and 62546 is 2.

Also check out the Least Common Multiple of 62538 and 62546