What is the Greatest Common Factor of 60494 and 60501?

Greatest common factor (GCF) of 60494 and 60501 is 7.

GCF(60494,60501) = 7

We will now calculate the prime factors of 60494 and 60501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60494 and 60501.

How to find the GCF of 60494 and 60501?

We will first find the prime factorization of 60494 and 60501. After we will calculate the factors of 60494 and 60501 and find the biggest common factor number .

Step-1: Prime Factorization of 60494

Prime factors of 60494 are 2, 7, 29, 149. Prime factorization of 60494 in exponential form is:

60494 = 2¹ × 7¹ × 29¹ × 149¹

Step-2: Prime Factorization of 60501

Prime factors of 60501 are 3, 7, 43, 67. Prime factorization of 60501 in exponential form is:

60501 = 3¹ × 7¹ × 43¹ × 67¹

Step-3: Factors of 60494

List of positive integer factors of 60494 that divides 60494 without a remainder.

1, 2, 7, 14, 29, 58, 149, 203, 298, 406, 1043, 2086, 4321, 8642, 30247

Step-4: Factors of 60501

List of positive integer factors of 60501 that divides 60494 without a remainder.

1, 3, 7, 21, 43, 67, 129, 201, 301, 469, 903, 1407, 2881, 8643, 20167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60494 and 60501. The biggest common factor number is the GCF number.
So the greatest common factor 60494 and 60501 is 7.

Also check out the Least Common Multiple of 60494 and 60501