What is the Greatest Common Factor of 62151 and 62169?

Greatest common factor (GCF) of 62151 and 62169 is 3.

GCF(62151,62169) = 3

We will now calculate the prime factors of 62151 and 62169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62151 and 62169.

How to find the GCF of 62151 and 62169?

We will first find the prime factorization of 62151 and 62169. After we will calculate the factors of 62151 and 62169 and find the biggest common factor number .

Step-1: Prime Factorization of 62151

Prime factors of 62151 are 3, 20717. Prime factorization of 62151 in exponential form is:

62151 = 3¹ × 20717¹

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 62151

List of positive integer factors of 62151 that divides 62151 without a remainder.

1, 3, 20717

Step-4: Factors of 62169

List of positive integer factors of 62169 that divides 62151 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 62151 and 62169. The biggest common factor number is the GCF number.
So the greatest common factor 62151 and 62169 is 3.

Also check out the Least Common Multiple of 62151 and 62169