What is the Greatest Common Factor of 60476 and 60489?

Greatest common factor (GCF) of 60476 and 60489 is 13.

GCF(60476,60489) = 13

We will now calculate the prime factors of 60476 and 60489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60476 and 60489.

How to find the GCF of 60476 and 60489?

We will first find the prime factorization of 60476 and 60489. After we will calculate the factors of 60476 and 60489 and find the biggest common factor number .

Step-1: Prime Factorization of 60476

Prime factors of 60476 are 2, 13, 1163. Prime factorization of 60476 in exponential form is:

60476 = 2² × 13¹ × 1163¹

Step-2: Prime Factorization of 60489

Prime factors of 60489 are 3, 11, 13, 47. Prime factorization of 60489 in exponential form is:

60489 = 3² × 11¹ × 13¹ × 47¹

Step-3: Factors of 60476

List of positive integer factors of 60476 that divides 60476 without a remainder.

1, 2, 4, 13, 26, 52, 1163, 2326, 4652, 15119, 30238

Step-4: Factors of 60489

List of positive integer factors of 60489 that divides 60476 without a remainder.

1, 3, 9, 11, 13, 33, 39, 47, 99, 117, 141, 143, 423, 429, 517, 611, 1287, 1551, 1833, 4653, 5499, 6721, 20163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60476 and 60489. The biggest common factor number is the GCF number.
So the greatest common factor 60476 and 60489 is 13.

Also check out the Least Common Multiple of 60476 and 60489