What is the Greatest Common Factor of 60198 and 60202?

Greatest common factor (GCF) of 60198 and 60202 is 2.

GCF(60198,60202) = 2

We will now calculate the prime factors of 60198 and 60202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60198 and 60202.

How to find the GCF of 60198 and 60202?

We will first find the prime factorization of 60198 and 60202. After we will calculate the factors of 60198 and 60202 and find the biggest common factor number .

Step-1: Prime Factorization of 60198

Prime factors of 60198 are 2, 3, 79, 127. Prime factorization of 60198 in exponential form is:

60198 = 2¹ × 3¹ × 79¹ × 127¹

Step-2: Prime Factorization of 60202

Prime factors of 60202 are 2, 31, 971. Prime factorization of 60202 in exponential form is:

60202 = 2¹ × 31¹ × 971¹

Step-3: Factors of 60198

List of positive integer factors of 60198 that divides 60198 without a remainder.

1, 2, 3, 6, 79, 127, 158, 237, 254, 381, 474, 762, 10033, 20066, 30099

Step-4: Factors of 60202

List of positive integer factors of 60202 that divides 60198 without a remainder.

1, 2, 31, 62, 971, 1942, 30101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60198 and 60202. The biggest common factor number is the GCF number.
So the greatest common factor 60198 and 60202 is 2.

Also check out the Least Common Multiple of 60198 and 60202