What is the Greatest Common Factor of 62753 and 62769?

Greatest common factor (GCF) of 62753 and 62769 is 1.

GCF(62753,62769) = 1

We will now calculate the prime factors of 62753 and 62769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62753 and 62769.

How to find the GCF of 62753 and 62769?

We will first find the prime factorization of 62753 and 62769. After we will calculate the factors of 62753 and 62769 and find the biggest common factor number .

Step-1: Prime Factorization of 62753

Prime factors of 62753 are 62753. Prime factorization of 62753 in exponential form is:

62753 = 62753¹

Step-2: Prime Factorization of 62769

Prime factors of 62769 are 3, 7, 61. Prime factorization of 62769 in exponential form is:

62769 = 3¹ × 7³ × 61¹

Step-3: Factors of 62753

List of positive integer factors of 62753 that divides 62753 without a remainder.

Step-4: Factors of 62769

List of positive integer factors of 62769 that divides 62753 without a remainder.

1, 3, 7, 21, 49, 61, 147, 183, 343, 427, 1029, 1281, 2989, 8967, 20923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62753 and 62769. The biggest common factor number is the GCF number.
So the greatest common factor 62753 and 62769 is 1.

Also check out the Least Common Multiple of 62753 and 62769