What is the Greatest Common Factor of 70525 and 70532?

Greatest common factor (GCF) of 70525 and 70532 is 7.

GCF(70525,70532) = 7

We will now calculate the prime factors of 70525 and 70532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70525 and 70532.

How to find the GCF of 70525 and 70532?

We will first find the prime factorization of 70525 and 70532. After we will calculate the factors of 70525 and 70532 and find the biggest common factor number .

Step-1: Prime Factorization of 70525

Prime factors of 70525 are 5, 7, 13, 31. Prime factorization of 70525 in exponential form is:

70525 = 5² × 7¹ × 13¹ × 31¹

Step-2: Prime Factorization of 70532

Prime factors of 70532 are 2, 7, 11, 229. Prime factorization of 70532 in exponential form is:

70532 = 2² × 7¹ × 11¹ × 229¹

Step-3: Factors of 70525

List of positive integer factors of 70525 that divides 70525 without a remainder.

1, 5, 7, 13, 25, 31, 35, 65, 91, 155, 175, 217, 325, 403, 455, 775, 1085, 2015, 2275, 2821, 5425, 10075, 14105

Step-4: Factors of 70532

List of positive integer factors of 70532 that divides 70525 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 229, 308, 458, 916, 1603, 2519, 3206, 5038, 6412, 10076, 17633, 35266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70525 and 70532. The biggest common factor number is the GCF number.
So the greatest common factor 70525 and 70532 is 7.

Also check out the Least Common Multiple of 70525 and 70532