What is the Greatest Common Factor of 42847 and 42861?

Greatest common factor (GCF) of 42847 and 42861 is 7.

GCF(42847,42861) = 7

We will now calculate the prime factors of 42847 and 42861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42847 and 42861.

How to find the GCF of 42847 and 42861?

We will first find the prime factorization of 42847 and 42861. After we will calculate the factors of 42847 and 42861 and find the biggest common factor number .

Step-1: Prime Factorization of 42847

Prime factors of 42847 are 7, 6121. Prime factorization of 42847 in exponential form is:

42847 = 7¹ × 6121¹

Step-2: Prime Factorization of 42861

Prime factors of 42861 are 3, 7, 13, 157. Prime factorization of 42861 in exponential form is:

42861 = 3¹ × 7¹ × 13¹ × 157¹

Step-3: Factors of 42847

List of positive integer factors of 42847 that divides 42847 without a remainder.

1, 7, 6121

Step-4: Factors of 42861

List of positive integer factors of 42861 that divides 42847 without a remainder.

1, 3, 7, 13, 21, 39, 91, 157, 273, 471, 1099, 2041, 3297, 6123, 14287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42847 and 42861. The biggest common factor number is the GCF number.
So the greatest common factor 42847 and 42861 is 7.

Also check out the Least Common Multiple of 42847 and 42861