What is the Greatest Common Factor of 70225 and 70236?

Greatest common factor (GCF) of 70225 and 70236 is 1.

GCF(70225,70236) = 1

We will now calculate the prime factors of 70225 and 70236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70225 and 70236.

How to find the GCF of 70225 and 70236?

We will first find the prime factorization of 70225 and 70236. After we will calculate the factors of 70225 and 70236 and find the biggest common factor number .

Step-1: Prime Factorization of 70225

Prime factors of 70225 are 5, 53. Prime factorization of 70225 in exponential form is:

70225 = 5² × 53²

Step-2: Prime Factorization of 70236

Prime factors of 70236 are 2, 3, 1951. Prime factorization of 70236 in exponential form is:

70236 = 2² × 3² × 1951¹

Step-3: Factors of 70225

List of positive integer factors of 70225 that divides 70225 without a remainder.

1, 5, 25, 53, 265, 1325, 2809, 14045

Step-4: Factors of 70236

List of positive integer factors of 70236 that divides 70225 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1951, 3902, 5853, 7804, 11706, 17559, 23412, 35118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70225 and 70236. The biggest common factor number is the GCF number.
So the greatest common factor 70225 and 70236 is 1.

Also check out the Least Common Multiple of 70225 and 70236