What is the Greatest Common Factor of 245 and 252?

Greatest common factor (GCF) of 245 and 252 is 7.

GCF(245,252) = 7

We will now calculate the prime factors of 245 and 252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 245 and 252.

How to find the GCF of 245 and 252?

We will first find the prime factorization of 245 and 252. After we will calculate the factors of 245 and 252 and find the biggest common factor number .

Step-1: Prime Factorization of 245

Prime factors of 245 are 5, 7. Prime factorization of 245 in exponential form is:

245 = 5¹ × 7²

Step-2: Prime Factorization of 252

Prime factors of 252 are 2, 3, 7. Prime factorization of 252 in exponential form is:

252 = 2² × 3² × 7¹

Step-3: Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49

Step-4: Factors of 252

List of positive integer factors of 252 that divides 245 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 245 and 252. The biggest common factor number is the GCF number.
So the greatest common factor 245 and 252 is 7.

Also check out the Least Common Multiple of 245 and 252