What is the Greatest Common Factor of 42828 and 42847?

Greatest common factor (GCF) of 42828 and 42847 is 1.

GCF(42828,42847) = 1

We will now calculate the prime factors of 42828 and 42847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42828 and 42847.

How to find the GCF of 42828 and 42847?

We will first find the prime factorization of 42828 and 42847. After we will calculate the factors of 42828 and 42847 and find the biggest common factor number .

Step-1: Prime Factorization of 42828

Prime factors of 42828 are 2, 3, 43, 83. Prime factorization of 42828 in exponential form is:

42828 = 2² × 3¹ × 43¹ × 83¹

Step-2: Prime Factorization of 42847

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

42847 = 7¹ × 6121¹

Step-3: Factors of 42828

List of positive integer factors of 42828 that divides 42828 without a remainder.

1, 2, 3, 4, 6, 12, 43, 83, 86, 129, 166, 172, 249, 258, 332, 498, 516, 996, 3569, 7138, 10707, 14276, 21414

Step-4: Factors of 42847

List of positive integer factors of 42847 that divides 42828 without a remainder.

1, 7, 6121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42828 and 42847. The biggest common factor number is the GCF number.
So the greatest common factor 42828 and 42847 is 1.

Also check out the Least Common Multiple of 42828 and 42847