What is the Greatest Common Factor of 62157 and 62169?

Greatest common factor (GCF) of 62157 and 62169 is 3.

GCF(62157,62169) = 3

We will now calculate the prime factors of 62157 and 62169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62157 and 62169.

How to find the GCF of 62157 and 62169?

We will first find the prime factorization of 62157 and 62169. After we will calculate the factors of 62157 and 62169 and find the biggest common factor number .

Step-1: Prime Factorization of 62157

Prime factors of 62157 are 3, 20719. Prime factorization of 62157 in exponential form is:

62157 = 3¹ × 20719¹

Step-2: Prime Factorization of 62169

Prime factors of 62169 are 3, 17, 23, 53. Prime factorization of 62169 in exponential form is:

62169 = 3¹ × 17¹ × 23¹ × 53¹

Step-3: Factors of 62157

List of positive integer factors of 62157 that divides 62157 without a remainder.

1, 3, 20719

Step-4: Factors of 62169

List of positive integer factors of 62169 that divides 62157 without a remainder.

1, 3, 17, 23, 51, 53, 69, 159, 391, 901, 1173, 1219, 2703, 3657, 20723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62157 and 62169. The biggest common factor number is the GCF number.
So the greatest common factor 62157 and 62169 is 3.

Also check out the Least Common Multiple of 62157 and 62169