What is the Greatest Common Factor of 42196 and 42207?

Greatest common factor (GCF) of 42196 and 42207 is 11.

GCF(42196,42207) = 11

We will now calculate the prime factors of 42196 and 42207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42196 and 42207.

How to find the GCF of 42196 and 42207?

We will first find the prime factorization of 42196 and 42207. After we will calculate the factors of 42196 and 42207 and find the biggest common factor number .

Step-1: Prime Factorization of 42196

Prime factors of 42196 are 2, 7, 11, 137. Prime factorization of 42196 in exponential form is:

42196 = 2² × 7¹ × 11¹ × 137¹

Step-2: Prime Factorization of 42207

Prime factors of 42207 are 3, 11, 1279. Prime factorization of 42207 in exponential form is:

42207 = 3¹ × 11¹ × 1279¹

Step-3: Factors of 42196

List of positive integer factors of 42196 that divides 42196 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 137, 154, 274, 308, 548, 959, 1507, 1918, 3014, 3836, 6028, 10549, 21098

Step-4: Factors of 42207

List of positive integer factors of 42207 that divides 42196 without a remainder.

1, 3, 11, 33, 1279, 3837, 14069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42196 and 42207. The biggest common factor number is the GCF number.
So the greatest common factor 42196 and 42207 is 11.

Also check out the Least Common Multiple of 42196 and 42207