What is the Greatest Common Factor of 48706 and 48725?

Greatest common factor (GCF) of 48706 and 48725 is 1.

GCF(48706,48725) = 1

We will now calculate the prime factors of 48706 and 48725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48706 and 48725.

How to find the GCF of 48706 and 48725?

We will first find the prime factorization of 48706 and 48725. After we will calculate the factors of 48706 and 48725 and find the biggest common factor number .

Step-1: Prime Factorization of 48706

Prime factors of 48706 are 2, 7, 71. Prime factorization of 48706 in exponential form is:

48706 = 2¹ × 7³ × 71¹

Step-2: Prime Factorization of 48725

Prime factors of 48725 are 5, 1949. Prime factorization of 48725 in exponential form is:

48725 = 5² × 1949¹

Step-3: Factors of 48706

List of positive integer factors of 48706 that divides 48706 without a remainder.

1, 2, 7, 14, 49, 71, 98, 142, 343, 497, 686, 994, 3479, 6958, 24353

Step-4: Factors of 48725

List of positive integer factors of 48725 that divides 48706 without a remainder.

1, 5, 25, 1949, 9745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48706 and 48725. The biggest common factor number is the GCF number.
So the greatest common factor 48706 and 48725 is 1.

Also check out the Least Common Multiple of 48706 and 48725