What is the Greatest Common Factor of 84949 and 84968?

Greatest common factor (GCF) of 84949 and 84968 is 19.

GCF(84949,84968) = 19

We will now calculate the prime factors of 84949 and 84968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84949 and 84968.

How to find the GCF of 84949 and 84968?

We will first find the prime factorization of 84949 and 84968. After we will calculate the factors of 84949 and 84968 and find the biggest common factor number .

Step-1: Prime Factorization of 84949

Prime factors of 84949 are 17, 19, 263. Prime factorization of 84949 in exponential form is:

84949 = 17¹ × 19¹ × 263¹

Step-2: Prime Factorization of 84968

Prime factors of 84968 are 2, 13, 19, 43. Prime factorization of 84968 in exponential form is:

84968 = 2³ × 13¹ × 19¹ × 43¹

Step-3: Factors of 84949

List of positive integer factors of 84949 that divides 84949 without a remainder.

1, 17, 19, 263, 323, 4471, 4997

Step-4: Factors of 84968

List of positive integer factors of 84968 that divides 84949 without a remainder.

1, 2, 4, 8, 13, 19, 26, 38, 43, 52, 76, 86, 104, 152, 172, 247, 344, 494, 559, 817, 988, 1118, 1634, 1976, 2236, 3268, 4472, 6536, 10621, 21242, 42484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84949 and 84968. The biggest common factor number is the GCF number.
So the greatest common factor 84949 and 84968 is 19.

Also check out the Least Common Multiple of 84949 and 84968