What is the Greatest Common Factor of 70892 and 70910?

Greatest common factor (GCF) of 70892 and 70910 is 2.

GCF(70892,70910) = 2

We will now calculate the prime factors of 70892 and 70910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70892 and 70910.

How to find the GCF of 70892 and 70910?

We will first find the prime factorization of 70892 and 70910. After we will calculate the factors of 70892 and 70910 and find the biggest common factor number .

Step-1: Prime Factorization of 70892

Prime factors of 70892 are 2, 37, 479. Prime factorization of 70892 in exponential form is:

70892 = 2² × 37¹ × 479¹

Step-2: Prime Factorization of 70910

Prime factors of 70910 are 2, 5, 7, 1013. Prime factorization of 70910 in exponential form is:

70910 = 2¹ × 5¹ × 7¹ × 1013¹

Step-3: Factors of 70892

List of positive integer factors of 70892 that divides 70892 without a remainder.

1, 2, 4, 37, 74, 148, 479, 958, 1916, 17723, 35446

Step-4: Factors of 70910

List of positive integer factors of 70910 that divides 70892 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1013, 2026, 5065, 7091, 10130, 14182, 35455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70892 and 70910. The biggest common factor number is the GCF number.
So the greatest common factor 70892 and 70910 is 2.

Also check out the Least Common Multiple of 70892 and 70910