What is the Greatest Common Factor of 62055 and 62075?

Greatest common factor (GCF) of 62055 and 62075 is 5.

GCF(62055,62075) = 5

We will now calculate the prime factors of 62055 and 62075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62055 and 62075.

How to find the GCF of 62055 and 62075?

We will first find the prime factorization of 62055 and 62075. After we will calculate the factors of 62055 and 62075 and find the biggest common factor number .

Step-1: Prime Factorization of 62055

Prime factors of 62055 are 3, 5, 7, 197. Prime factorization of 62055 in exponential form is:

62055 = 3² × 5¹ × 7¹ × 197¹

Step-2: Prime Factorization of 62075

Prime factors of 62075 are 5, 13, 191. Prime factorization of 62075 in exponential form is:

62075 = 5² × 13¹ × 191¹

Step-3: Factors of 62055

List of positive integer factors of 62055 that divides 62055 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 197, 315, 591, 985, 1379, 1773, 2955, 4137, 6895, 8865, 12411, 20685

Step-4: Factors of 62075

List of positive integer factors of 62075 that divides 62055 without a remainder.

1, 5, 13, 25, 65, 191, 325, 955, 2483, 4775, 12415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62055 and 62075. The biggest common factor number is the GCF number.
So the greatest common factor 62055 and 62075 is 5.

Also check out the Least Common Multiple of 62055 and 62075