What is the Greatest Common Factor of 49225 and 49236?

Greatest common factor (GCF) of 49225 and 49236 is 11.

GCF(49225,49236) = 11

We will now calculate the prime factors of 49225 and 49236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49225 and 49236.

How to find the GCF of 49225 and 49236?

We will first find the prime factorization of 49225 and 49236. After we will calculate the factors of 49225 and 49236 and find the biggest common factor number .

Step-1: Prime Factorization of 49225

Prime factors of 49225 are 5, 11, 179. Prime factorization of 49225 in exponential form is:

49225 = 5² × 11¹ × 179¹

Step-2: Prime Factorization of 49236

Prime factors of 49236 are 2, 3, 11, 373. Prime factorization of 49236 in exponential form is:

49236 = 2² × 3¹ × 11¹ × 373¹

Step-3: Factors of 49225

List of positive integer factors of 49225 that divides 49225 without a remainder.

1, 5, 11, 25, 55, 179, 275, 895, 1969, 4475, 9845

Step-4: Factors of 49236

List of positive integer factors of 49236 that divides 49225 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 373, 746, 1119, 1492, 2238, 4103, 4476, 8206, 12309, 16412, 24618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49225 and 49236. The biggest common factor number is the GCF number.
So the greatest common factor 49225 and 49236 is 11.

Also check out the Least Common Multiple of 49225 and 49236