What is the Greatest Common Factor of 49085 and 49104?

Greatest common factor (GCF) of 49085 and 49104 is 1.

GCF(49085,49104) = 1

We will now calculate the prime factors of 49085 and 49104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49085 and 49104.

How to find the GCF of 49085 and 49104?

We will first find the prime factorization of 49085 and 49104. After we will calculate the factors of 49085 and 49104 and find the biggest common factor number .

Step-1: Prime Factorization of 49085

Prime factors of 49085 are 5, 9817. Prime factorization of 49085 in exponential form is:

49085 = 5¹ × 9817¹

Step-2: Prime Factorization of 49104

Prime factors of 49104 are 2, 3, 11, 31. Prime factorization of 49104 in exponential form is:

49104 = 2⁴ × 3² × 11¹ × 31¹

Step-3: Factors of 49085

List of positive integer factors of 49085 that divides 49085 without a remainder.

1, 5, 9817

Step-4: Factors of 49104

List of positive integer factors of 49104 that divides 49085 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 31, 33, 36, 44, 48, 62, 66, 72, 88, 93, 99, 124, 132, 144, 176, 186, 198, 248, 264, 279, 341, 372, 396, 496, 528, 558, 682, 744, 792, 1023, 1116, 1364, 1488, 1584, 2046, 2232, 2728, 3069, 4092, 4464, 5456, 6138, 8184, 12276, 16368, 24552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49085 and 49104. The biggest common factor number is the GCF number.
So the greatest common factor 49085 and 49104 is 1.

Also check out the Least Common Multiple of 49085 and 49104