What is the Greatest Common Factor of 70292 and 70296?

Greatest common factor (GCF) of 70292 and 70296 is 4.

GCF(70292,70296) = 4

We will now calculate the prime factors of 70292 and 70296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70292 and 70296.

How to find the GCF of 70292 and 70296?

We will first find the prime factorization of 70292 and 70296. After we will calculate the factors of 70292 and 70296 and find the biggest common factor number .

Step-1: Prime Factorization of 70292

Prime factors of 70292 are 2, 17573. Prime factorization of 70292 in exponential form is:

70292 = 2² × 17573¹

Step-2: Prime Factorization of 70296

Prime factors of 70296 are 2, 3, 29, 101. Prime factorization of 70296 in exponential form is:

70296 = 2³ × 3¹ × 29¹ × 101¹

Step-3: Factors of 70292

List of positive integer factors of 70292 that divides 70292 without a remainder.

1, 2, 4, 17573, 35146

Step-4: Factors of 70296

List of positive integer factors of 70296 that divides 70292 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 101, 116, 174, 202, 232, 303, 348, 404, 606, 696, 808, 1212, 2424, 2929, 5858, 8787, 11716, 17574, 23432, 35148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70292 and 70296. The biggest common factor number is the GCF number.
So the greatest common factor 70292 and 70296 is 4.

Also check out the Least Common Multiple of 70292 and 70296