What is the Greatest Common Factor of 61214 and 61232?

Greatest common factor (GCF) of 61214 and 61232 is 2.

GCF(61214,61232) = 2

We will now calculate the prime factors of 61214 and 61232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61214 and 61232.

How to find the GCF of 61214 and 61232?

We will first find the prime factorization of 61214 and 61232. After we will calculate the factors of 61214 and 61232 and find the biggest common factor number .

Step-1: Prime Factorization of 61214

Prime factors of 61214 are 2, 127, 241. Prime factorization of 61214 in exponential form is:

61214 = 2¹ × 127¹ × 241¹

Step-2: Prime Factorization of 61232

Prime factors of 61232 are 2, 43, 89. Prime factorization of 61232 in exponential form is:

61232 = 2⁴ × 43¹ × 89¹

Step-3: Factors of 61214

List of positive integer factors of 61214 that divides 61214 without a remainder.

1, 2, 127, 241, 254, 482, 30607

Step-4: Factors of 61232

List of positive integer factors of 61232 that divides 61214 without a remainder.

1, 2, 4, 8, 16, 43, 86, 89, 172, 178, 344, 356, 688, 712, 1424, 3827, 7654, 15308, 30616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61214 and 61232. The biggest common factor number is the GCF number.
So the greatest common factor 61214 and 61232 is 2.

Also check out the Least Common Multiple of 61214 and 61232