What is the Greatest Common Factor of 62220 and 62235?

Greatest common factor (GCF) of 62220 and 62235 is 15.

GCF(62220,62235) = 15

We will now calculate the prime factors of 62220 and 62235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62220 and 62235.

How to find the GCF of 62220 and 62235?

We will first find the prime factorization of 62220 and 62235. After we will calculate the factors of 62220 and 62235 and find the biggest common factor number .

Step-1: Prime Factorization of 62220

Prime factors of 62220 are 2, 3, 5, 17, 61. Prime factorization of 62220 in exponential form is:

62220 = 2² × 3¹ × 5¹ × 17¹ × 61¹

Step-2: Prime Factorization of 62235

Prime factors of 62235 are 3, 5, 461. Prime factorization of 62235 in exponential form is:

62235 = 3³ × 5¹ × 461¹

Step-3: Factors of 62220

List of positive integer factors of 62220 that divides 62220 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 61, 68, 85, 102, 122, 170, 183, 204, 244, 255, 305, 340, 366, 510, 610, 732, 915, 1020, 1037, 1220, 1830, 2074, 3111, 3660, 4148, 5185, 6222, 10370, 12444, 15555, 20740, 31110

Step-4: Factors of 62235

List of positive integer factors of 62235 that divides 62220 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 461, 1383, 2305, 4149, 6915, 12447, 20745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62220 and 62235. The biggest common factor number is the GCF number.
So the greatest common factor 62220 and 62235 is 15.

Also check out the Least Common Multiple of 62220 and 62235