What is the Greatest Common Factor of 60208 and 60228?

Greatest common factor (GCF) of 60208 and 60228 is 4.

GCF(60208,60228) = 4

We will now calculate the prime factors of 60208 and 60228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60208 and 60228.

How to find the GCF of 60208 and 60228?

We will first find the prime factorization of 60208 and 60228. After we will calculate the factors of 60208 and 60228 and find the biggest common factor number .

Step-1: Prime Factorization of 60208

Prime factors of 60208 are 2, 53, 71. Prime factorization of 60208 in exponential form is:

60208 = 2⁴ × 53¹ × 71¹

Step-2: Prime Factorization of 60228

Prime factors of 60228 are 2, 3, 7, 239. Prime factorization of 60228 in exponential form is:

60228 = 2² × 3² × 7¹ × 239¹

Step-3: Factors of 60208

List of positive integer factors of 60208 that divides 60208 without a remainder.

1, 2, 4, 8, 16, 53, 71, 106, 142, 212, 284, 424, 568, 848, 1136, 3763, 7526, 15052, 30104

Step-4: Factors of 60228

List of positive integer factors of 60228 that divides 60208 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 239, 252, 478, 717, 956, 1434, 1673, 2151, 2868, 3346, 4302, 5019, 6692, 8604, 10038, 15057, 20076, 30114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60208 and 60228. The biggest common factor number is the GCF number.
So the greatest common factor 60208 and 60228 is 4.

Also check out the Least Common Multiple of 60208 and 60228