What is the Greatest Common Factor of 62538 and 62545?

Greatest common factor (GCF) of 62538 and 62545 is 7.

GCF(62538,62545) = 7

We will now calculate the prime factors of 62538 and 62545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62538 and 62545.

How to find the GCF of 62538 and 62545?

We will first find the prime factorization of 62538 and 62545. After we will calculate the factors of 62538 and 62545 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 62545

Prime factors of 62545 are 5, 7, 1787. Prime factorization of 62545 in exponential form is:

62545 = 5¹ × 7¹ × 1787¹

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 62545

List of positive integer factors of 62545 that divides 62538 without a remainder.

1, 5, 7, 35, 1787, 8935, 12509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62538 and 62545. The biggest common factor number is the GCF number.
So the greatest common factor 62538 and 62545 is 7.

Also check out the Least Common Multiple of 62538 and 62545