What is the Greatest Common Factor of 62349 and 62353?

Greatest common factor (GCF) of 62349 and 62353 is 1.

GCF(62349,62353) = 1

We will now calculate the prime factors of 62349 and 62353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62349 and 62353.

How to find the GCF of 62349 and 62353?

We will first find the prime factorization of 62349 and 62353. After we will calculate the factors of 62349 and 62353 and find the biggest common factor number .

Step-1: Prime Factorization of 62349

Prime factors of 62349 are 3, 7, 2969. Prime factorization of 62349 in exponential form is:

62349 = 3¹ × 7¹ × 2969¹

Step-2: Prime Factorization of 62353

Prime factors of 62353 are 23, 2711. Prime factorization of 62353 in exponential form is:

62353 = 23¹ × 2711¹

Step-3: Factors of 62349

List of positive integer factors of 62349 that divides 62349 without a remainder.

1, 3, 7, 21, 2969, 8907, 20783

Step-4: Factors of 62353

List of positive integer factors of 62353 that divides 62349 without a remainder.

1, 23, 2711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62349 and 62353. The biggest common factor number is the GCF number.
So the greatest common factor 62349 and 62353 is 1.

Also check out the Least Common Multiple of 62349 and 62353