What is the Greatest Common Factor of 26372 and 26376?
Greatest common factor (GCF) of 26372 and 26376 is 4.
GCF(26372,26376) = 4
We will now calculate the prime factors of 26372 and 26376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26372 and 26376.
How to find the GCF of 26372 and 26376?
We will first find the prime factorization of 26372 and 26376. After we will calculate the factors of 26372 and 26376 and find the biggest common factor number .
Step-1: Prime Factorization of 26372
Prime factors of 26372 are 2, 19, 347. Prime factorization of 26372 in exponential form is:
26372 = 22 × 191 × 3471
Step-2: Prime Factorization of 26376
Prime factors of 26376 are 2, 3, 7, 157. Prime factorization of 26376 in exponential form is:
26376 = 23 × 31 × 71 × 1571
Step-3: Factors of 26372
List of positive integer factors of 26372 that divides 26372 without a remainder.
1, 2, 4, 19, 38, 76, 347, 694, 1388, 6593, 13186
Step-4: Factors of 26376
List of positive integer factors of 26376 that divides 26372 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 157, 168, 314, 471, 628, 942, 1099, 1256, 1884, 2198, 3297, 3768, 4396, 6594, 8792, 13188
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 26372 and 26376. The biggest common factor number is the GCF number.
So the greatest common factor 26372 and 26376 is 4.
Also check out the Least Common Multiple of 26372 and 26376
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