What is the Greatest Common Factor of 55572 and 55578?
Greatest common factor (GCF) of 55572 and 55578 is 6.
GCF(55572,55578) = 6
We will now calculate the prime factors of 55572 and 55578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55572 and 55578.
How to find the GCF of 55572 and 55578?
We will first find the prime factorization of 55572 and 55578. After we will calculate the factors of 55572 and 55578 and find the biggest common factor number .
Step-1: Prime Factorization of 55572
Prime factors of 55572 are 2, 3, 11, 421. Prime factorization of 55572 in exponential form is:
55572 = 22 × 31 × 111 × 4211
Step-2: Prime Factorization of 55578
Prime factors of 55578 are 2, 3, 59, 157. Prime factorization of 55578 in exponential form is:
55578 = 21 × 31 × 591 × 1571
Step-3: Factors of 55572
List of positive integer factors of 55572 that divides 55572 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 421, 842, 1263, 1684, 2526, 4631, 5052, 9262, 13893, 18524, 27786
Step-4: Factors of 55578
List of positive integer factors of 55578 that divides 55572 without a remainder.
1, 2, 3, 6, 59, 118, 157, 177, 314, 354, 471, 942, 9263, 18526, 27789
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55572 and 55578. The biggest common factor number is the GCF number.
So the greatest common factor 55572 and 55578 is 6.
Also check out the Least Common Multiple of 55572 and 55578
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